Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 337/36, 489/4805 quickly i.e. 164793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 337/36, 489/4805 is 164793.
LCM(337/36, 489/4805) = 164793
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 337/36,489/4805
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 337,489
Least Common Multiple of Numerators i.e. LCM of 337,489 is 164793.
GCF of Denominators means GCF of 36,4805 as per the given fractions.
GCF of 36,4805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 337,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 164793
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 337,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,489) x common factors =1 x 1 = 1
LCM(337,489) = ( 337 × 489 ) / 1
LCM(337,489) = 164793 / 1
LCM(337,489) = 164793
Lets's calculate GCF of 36,4805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164793/1
Therefore the LCM of Fractions 337/36,489/4805 is 164793
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 4805
List of positive integer factors of 4805 that divides 4805 without a remainder.
1,5,31,155,961,4805
Greatest Common Factor
We found the factors 36,4805 . The biggest common factor number is the GCF number.
So the greatest common factor 36,4805 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 337/36, 489/4805?
Answer: LCM of Numerators as per given numbers 337/36, 489/4805 is
LCM of Numerators i.e. for 337,489 is 164793
GCF of denominators i.e. for 36,4805 is 1.
Thus, LCM of Fractions is 164793.Finally, LCM of Fractions for 337/36, 489/4805 is 164793.